Question: If the moment-generating function of X is M(t) = exp(166t + 200t 2 ) , < t < , , find (a) The mean of

If the moment-generating function of X is

M(t) = exp(166t + 200t 2 ) , < t < , , find

(a) The mean of X.

(b) The variance of X.

(c) P(170 < X < 200).

(d) P(148 X 172).

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